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Finding the Fourth Proportional to 2,264.78, 3,397.28 and 621.34

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Solution

The fourth proportional to 2,264.78, 3,397.28 and 621.34 is: 932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.78 : 3,397.28 = 621.34 : x
  2. Step 2: Convert to fraction form
    2,264.78/3,397.28 = 621.34/x
  3. Step 3: Cross multiply
    2,264.78x = 3,397.28 × 621.34
  4. Step 4: Simplify right side
    2,264.78x = 2,110,854.36
  5. Step 5: Solve for x
    x = 2,110,854.36/2,264.78
  6. Step 6: Final answer
    x = 932.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.